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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 1, Pages 101–110
DOI: https://doi.org/10.15393/j3.art.2021.9770 (Mi pa319) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Riemann boundary-value problem on Cassini spirals

L. Zhixinab, B. A. Katsb

a Tianjin University of Technology and Education(Tianjin China), Road Jingu No.5, Jinnan District, city Tianjin, China
b Kazan Federal University, 18, Kremlevskaya st., Kazan, 420138, Russia
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DOI: https://doi.org/10.15393/j3.art.2021.9770
Abstract: Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions. This paper is the first study of this problem on spirals with oval turns.
Keywords: Rimann boundary-value problem, non-rectifiable curve, spirals, strong torsion, Cassini ovals.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
This work was supported by the development program of the Scientific and Educational Mathematical Center of the Volga Federal District, agreement No. 075-02-2020-1478.
Received: 19.11.2020
Revised: 20.01.2021
Accepted: 21.01.2021
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30E20
Language: English
Citation: L. Zhixin, B. A. Kats, “Riemann boundary-value problem on Cassini spirals”, Probl. Anal. Issues Anal., 10(28):1 (2021), 101–110
Citation in format AMSBIB
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\paper Riemann boundary-value problem on Cassini spirals
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\vol 10(28)
\issue 1
\pages 101--110
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